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Simplifying 2 + 7(2 + -1x) = 3x + -24 2 + (2 * 7 + -1x * 7) = 3x + -24 2 + (14 + -7x) = 3x + -24 Combine like terms: 2 + 14 = 16 16 + -7x = 3x + -24 Reorder the terms: 16 + -7x = -24 + 3x Solving 16 + -7x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -7x + -3x = -24 + 3x + -3x Combine like terms: -7x + -3x = -10x 16 + -10x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -10x = -24 + 0 16 + -10x = -24 Add '-16' to each side of the equation. 16 + -16 + -10x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -24 + -16 -10x = -24 + -16 Combine like terms: -24 + -16 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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